Segmentation of crystal defects via local analysis of crystal distortion

VISAPP 2013 - Proceedings of the International Conference on Computer Vision Theory and Applications

Volumn 1, Issue , 2013, Pages 294-302

  Elsey, Matt ^a   Wirth, Benedikt ^a  

^a NEW YORK UNIVERSITY   (United States)

Author keywords

Crystal defect; Crystal distortion; Dislocation; Segmentation; Sparse curl; Variational method

Indexed keywords

CRYSTAL DISTORTION; ENERGY FUNCTIONALS; LARGE IMAGES; LOCAL ANALYSIS; SPARSE CURL; VARIATIONAL METHODS;

CRYSTAL DEFECTS; GRAIN BOUNDARIES; IMAGE SEGMENTATION; ORDINARY DIFFERENTIAL EQUATIONS;

DISLOCATIONS (CRYSTALS);

EID: 84878263277     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (15)

1. Begau, C., Hua, J., and Hartmaier, A. (2012). A novel approach to study dislocation density tensors and lattice rotation patterns in atomistic simulations. Journal of the Mechanics and Physics of Solids, 60(4):711-722.
2. Berkels, B., Rätz, A., Rumpf, M., and Voigt, A. (2008). Extracting grain boundaries and macroscopic deformations from images on atomic scale. J. Sci. Comput., 35(1):1-23.
3. Boerdgen, M., Berkels, B., Rumpf, M., and Cremers, D. (2010). Convex relaxation for grain segmentation at atomic scale. In Fellner, D., editor, VMV 2010 - Vision, Modeling & Visualization, pages 179-186. Eurographics Association.
4. Bregman, L. M. (1967). The relaxation method of finding the common point of convex sets and its application to the solution of problems in convex programming. USSR Comput. Math. Math. Phys., 7(2):200-217.
5. Elder, K. R. and Grant, M. (2004). Modeling elastic and plastic deformations in nonequilibrium processing using phase field crystals. Phys. Rev. E, 70:051605.
6. Goldstein, T. and Osher, S. (2009). The split Bregman method for L1-regularized problems. SIAM J. Imag. Sci., 2(2):323-343.
7. Lifshitz, R. and Petrich, D. M. (1997). Theoretical model for Faraday waves with multiple-frequency forcing. Phys. Rev. Lett., 79(7):1261-1264.
8. Osher, S., Burger, M., Goldfarb, D., Xu, J., and Yin, W. (2005). An iterative regularization method for total variation-based image restoration. Multiscale Model. Simul., 4(2):460-489.
9. Singer, H. M. and Singer, I. (2006). Analysis and visualization of multiply oriented lattice structures by a two-dimensional continuous wavelet transform. Phys. Rev. E, 74:031103.
10. Strekalovskiy, E. and Cremers, D. (2011). Total variation for cyclic structures: Convex relaxation and efficient minimization. In Computer Vision and Pattern Recognition (CVPR), 2011 IEEE Conference on, pages 1905-1911.
11. Stukowski, A. and Albe, K. (2010a). Dislocation detection algorithm for atomistic simulations. Modelling and Simulation in Materials Science and Engineering, 18(2):025016.
12. Stukowski, A. and Albe, K. (2010b). Extracting dislocations and non-dislocation crystal defects from atomistic simulation data. Modelling and Simulation in Materials Science and Engineering, 18(8):085001.
13. Wang, B., Idrissi, H., Galceran, M., Colla, M., Turner, S., Hui, S., Raskin, J., Pardoen, T., Godet, S., and Schryvers, D. (2012). Advanced TEM investigation of the plasticity mechanisms in nancrystalline freestanding palladium films with nanoscale twins. Int. J. Plast., 37:140-156.
14. Wu, K.-A., Adland, A., and Karma, A. (2010). Phasefield-crystal model for fcc ordering. Phys. Rev. E, 81:061601.
15. Wu, K.-A. and Voorhees, P. W. (2012). Phase field crystal simulations of nanocrystalline grain growth in two dimensions. Acta Materialia, 60(1):407-419.